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Research Papers

Plastic Collapse Behaviors of Tubulars with Recess Patterns—Application in Hollow Carrier Perforating Guns

[+] Author and Article Information
Haifeng Zhao

Schlumberger,
Rosharon, TX 77583
e-mail: hzhao13@slb.com

David Iblings, Aleksey Barykin

Schlumberger,
Rosharon, TX 77583

Mohamed Mehdi

Schlumberger,
Rosharon, TX 77583
e-mail: mmehdi@slb.com

1Corresponding authors.

Manuscript received January 28, 2016; final manuscript received September 6, 2016; published online November 21, 2016. Assoc. Editor: Ioannis Kougioumtzoglou.

ASME J. Risk Uncertainty Part B 3(1), 011004 (Nov 21, 2016) (6 pages) Paper No: RISK-16-1024; doi: 10.1115/1.4034660 History: Received January 28, 2016; Accepted September 06, 2016

The collapse strength of tubulars with recess patterns machined into their walls is an important topic for oil field downhole tools, especially in hollow carrier perforating gun systems. This paper presents a study of the plastic collapse behavior of thick-walled tubulars (those with an outside diameter to thickness ratio of approximately ten) having different patterns of circular recesses (blind holes partially machined into the tubing wall) that are subjected to external pressure. An empirical relationship between the reduction in collapse strength and the periodic distribution of recesses was constructed to account for the weakening effects of recess diameter, recess depth, axial spacing, angular phasing, etc. This strength reduction factor was introduced into the Tamano formula to predict collapse strength of recessed tubulars. Applicability of this empirical formula was validated with the aid of nonlinear, postbuckling finite element analyses (FEA). The strength reduction factor in combination with the Tamano formula provides a simple way of parametrically predicting the collapse strength of tubulars having circular recess patterns.

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Figures

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Fig. 1

(a) A full three-dimensional (3D) model of recessed tubular and (b) a cross-section view of 3D recessed tubular with dimensioning symbols

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Fig. 2

A two-dimensional, unrolled schematic view of a representative periodic recess pattern; here S=4  in. and θ=60°

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Fig. 3

Stress–strain curve

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Fig. 4

This case is a D=7  in., t=0.7  in. tubular with a recess pattern of d=1  in., h=0.4  in., θ=60°, S=4  in.: (a) cross section view of equivalent plastic strain contour at the onset level of collapse pressure. Gray indicates the equivalent plastic strain exceeds 5%; (b) contour plot of equivalent plastic strain of postcollapse pattern, where gray means that the equivalent plastic strain exceeds 20%.

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Fig. 5

This case is a D=7  in., t=0.7  in. tubular with the recess pattern of d=1  in., h=0.4  in., θ=60°, S=4  in.: (a) pressure-deflection response at location A in Fig. 4, where U is the radial deflection of location A and (b) deformation configuration of the line at the outer diameter surface through location A along the longitudinal direction, and x is the longitudinal distance from location A

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Fig. 6

Comparison of collapse strength reduction factors: (a) D/t ratio; (b) angular phasing of recess θ; (c) longitudinal spacing of recess S; (d) recess depth h; and (e) recess diameter d

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Fig. 7

Comparison of analytical collapse pressure data with FEA results: (a) D/t ratio; (b) angular phasing of recess θ; (c) longitudinal spacing of recess S; (d) recess depth h; and (e) recess diameter d

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